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2 years ago

2. Draw a diagram to show that 5(x + 2) = 5x + 10.

Mathematics

2 answers:

Vlada [557]2 years ago

8 0

Step-by-step explanation:

5(x+2)
1. Distributive property
2. Multiply
(5*x) + (5*2)
(5x)+(10)
Remove parenthesis

5x+10 ;

Therefore, 5(x+2) = 5x+10

Hopefully this helps! :3

goldenfox [79]2 years ago

5 0

5(x+2)=5x+10=10 answer

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Please help i guess on a

goldfiish [28.3K]

Answer:

A = (2, 2)

B = (3, -1)

C = (-1, 0)

Step-by-step explanation:

To translate a point, you have to translate each individual point. At the bottom it shows <-2,3>, therefore you have to translate x 2 units to the left (because it's negative meaning the number is going away from 0, and 3 units to the right because 3 is a positive number.)

First Point A:

x: 4 - 2 = 2; y: -1 + 3 = 2

Second Point B:

x: 5 - 2 = 3; y: -4 + 3 = -1

Lastly, Point C:

x: 1 - 2 = -1, y: -3 + 3 = 0

I hope this helps!

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3 years ago

how much air would be needed to fill a soccer ball with a radius of 14 cm? Round to the nearest cubic centimeter

Bezzdna [24]

Answer:

$11499\ cm^3$ of volume needed to fill a soccer ball

Step-by-step explanation:

It is required to find the amount of air would be needed to fill a soccer ball with a radius of 14 cm. It means we need to find the volume of spherical shaped spherical ball. Volume of sphere is given by :

$V=\dfrac{4}{3}\pi r^3\\\\V=\dfrac{4}{3}\times \dfrac{22}{7} \times (14)^3\\\\V=11498.66\ cm^3$

$V=11499\ cm^3$

So, $11499\ cm^3$ of volume needed to fill a soccer ball.

6 0

4 years ago

Hailey sold 20 tickets to the school play for a total of 225$.Early bird tickets were 10$ and regular priced tickets were 15$.Wr

dlinn [17]

Answer:

The system of equation are $\left \{ x+y=20} \atop {10x+15y=225}} \right.$

The number of early bird tickets are 15 and of regular tickets are 5.

Step-by-step explanation:

Given,

Total number of tickets = 20

Total amount = $225

Solution,

Let the number of early bird tickets be 'x'.

And also let the number of regular tickets be 'y'.

Now total number of tickets is the sum of number of early bird tickets and number of regular tickets.

So framing in equation form, we get;

Total number of tickets = number of early bird tickets + number of regular tickets

$x+y=20\ \ \ \ equation\ 1$

Again, Total amount is the sum of number of early bird tickets multiplied with price of each ticket and number of regular tickets multiplied with price of each ticket.

So framing in equation form, we get;

$10x+15y=225\ \ \ \ \ equation\ 2$

Hence the system of equation are $\left \{ x+y=20} \atop {10x+15y=225}} \right.$

Now we solve the equation by multiplying equation 1 by 10, and get;

$10(x+y)=20\times10\\\\10x+10y=200\ \ \ \ equation\ 3$

Now subtracting equation 3 from equation 2, we get;

$(10x+15y)-(10x+10y)=225-200\\\\10x+15y-10x-10y=25\\\\5y=25\\\\y=\frac{25}{5}=5$

On substituting the value of 'y' in equation 1, we get;

$x+y=20\\\\x+5=20\\\\x=20-5=15$

Hence The number of early bird tickets are 15 and of regular tickets are 5.

3 0

3 years ago

Is 390 a compatible number or no

mezya [45]

Answer:

no. I believe this is the answer

4 0

3 years ago

Read 2 more answers

The area of a rectangular cocktail table is x²-18x +32. If the width is x-16, what is it's length?

Ad libitum [116K]

Answer:

x-2

Step-by-step explanation:

The formula for area of rectangle is length x width
And we know that width is x-16
And we know that the area is $x^{2} -18x +32$

So we know that when x-2 is multiplied with x-16, it gives off $x^{2} -18x +32$

5 0

2 years ago